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August 23, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus
Find two numbers whose difference is 132 and whose product is a minimum.
Tuesday, January 28, 2014 at 10:04pm

Calculus
A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.
Tuesday, January 28, 2014 at 10:03pm

Calculus
A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Tuesday, January 28, 2014 at 10:02pm

pre-calculus
The suggested retail price for a new car is p dollars. The dealership advertises a 10% discount and a factory rebate of $1500. Write a function S in terms of p, representing the cost of the car after receiving the dealership discount.
Tuesday, January 28, 2014 at 8:15pm

calculus
If the nth partial sum of an is sn=(3n-2)/(n+1) what is an when x>1? and what is the sum of an?
Tuesday, January 28, 2014 at 1:06am

Calculus
write and row reduce the augmented matrix to find the general solution. x + y - z = 7 2x - y - 5z = 2 -5x + 4y + 14z = 1 3x - y - 7z = 5
Monday, January 27, 2014 at 6:51pm

Calculus HELP!!
6 2 6 Let u = 4 , v = 2 , w = 2 5 3 1 Show that 2u - 3v - w = 0. Use that fact to find x1 and x2 that satisfy the equation 6 2 6 4 2 {x1} = 2 5 3 {x2} 1
Monday, January 27, 2014 at 4:54pm

Calculus
the legs of a right triangle have lengths a and b satisfying a + b =10. which values of a and b maximize the area of the triangle?
Monday, January 27, 2014 at 1:19pm

Calculus
integrate (pi&0) sin t/(2-cost) dt
Monday, January 27, 2014 at 9:42am

Calculus
integrate (pi/6 & 0) (1-cos3t)(sin3t)dt
Monday, January 27, 2014 at 9:23am

Calculus
write and row reduce the augmented matrix to find the general solution: 2x - z = 2 6x + 5y + 3z = 7 2x - y = 4
Sunday, January 26, 2014 at 4:36pm

Calculus
write and row reduce the augmented matrix to find the general solution: x - 2y + 13 = 0 y - 4x = 17
Sunday, January 26, 2014 at 4:34pm

Geometry/Algebra/Calculus
Why isn't the surface area of a sphere with radius r the following: 2*pi * (pi*r) That comes from the following flow of logic: Doesn't it makes sense to think of the surface area of the sphere with radius r as the the circumference of the semi-circle with radius r, pi*...
Sunday, January 26, 2014 at 1:46am

calculus
"superman is in level flight 6 miles above ground. his flight plan takes him directly over whs high school. how fast is he flying when the distance between him and the whs high school is exactly 10 miles and the rate is increasing 40mph?" i keep getting: r = 10 r'...
Saturday, January 25, 2014 at 10:34pm

calculus
"superman is in level flight 6 miles above ground. his flight plan takes him directly over whs high school. how fast is he flying when the distance between him and the whs high school is exactly 10 miles and the rate is increasing 40mph?" i keep getting: r = 10 r'...
Saturday, January 25, 2014 at 9:18pm

Calculus 1
Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x
Saturday, January 25, 2014 at 6:38pm

Calculus
The figure shows graphs of the marginal revenue function R ' and the marginal cost function C ' for a manufacturer. (Recall from Section 4.7 that R(x) and C(x) represent the revenue and cost when x units are manufactured. Assume that R and C are measured in thousands ...
Saturday, January 25, 2014 at 6:28pm

Calculus
a)Find the number a such that the line x = a bisects the area under the curve y= 1/x^2, 1<x<3. a=3/2 b)Find the number b such that the line y = b bisects the area in part (a) b=?
Saturday, January 25, 2014 at 6:21pm

Calculus
Sketch the region and find its area. S = {(x,y) | x > -6, 0 < y < e-x/2}
Saturday, January 25, 2014 at 12:46pm

Calculus
Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx
Friday, January 24, 2014 at 10:34pm

Calculus
integrate (t(root t)+t(root t))/t^2 dt
Friday, January 24, 2014 at 10:26pm

Calculus 1
On the graph of f(x) = 8*sin(3pi*x), points P and Q are at consecutive lowest and highest points with P occurring before Q. Find the slope of the line which passes through P and Q. Slope = ? I have tried 48/pi and it didn't work
Thursday, January 23, 2014 at 9:38pm

pre-calculus
A company plans to manufacture a container having the shape of a right circular cylinder, open at the top, and having a capacity of 24pi cubic inches. If the cost of the material for the bottom is $.30 per square inch and that for the curved sides is $.10 per square inch, ...
Thursday, January 23, 2014 at 7:33pm

calculus
Suppose that the sales at Borders bookstores went from 68 million dollars in 1990 to 427 million dollars in 1995 . Find an exponential function to model the sales (in millions of dollars) as a function of years,t, since 1990.
Thursday, January 23, 2014 at 1:37am

Calculus and vectors
A cylindrical tank is to have a capacity of 1000 m³. It is to fit into a foundry that is 12 m wide with a height of 11 m. The base of the tank will cost half as much as the top. The metal for the side of the tank will cost four fifths as much as the top. An equation that ...
Wednesday, January 22, 2014 at 10:16pm

calculus
limit as n approaches infinity for the function ((-1)^n)((5n+7)/(6n+5))
Wednesday, January 22, 2014 at 9:19pm

Calculus
Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so far: lim 5-x/(x^2-25) = lim 5-x/(x-5)(x+5) x-->5 x-->5 lim (1/x+5) = lim 1/10 x-->5 x-->5 I just wanted to double check with someone and see if the answer is supposed to be positive or negative. ...
Wednesday, January 22, 2014 at 1:20pm

Calculus
Water is leaking out of a pool at a rate of 4 cubic inches per second, what is the rate of change of the height of the water at the instant the volume equals 20ft cubic feet
Wednesday, January 22, 2014 at 12:25am

calculus
what is the 2nd derivative of: 1-xy = x-y i get (-y-1)/(x-1) for the first the second i know is (-y-1)/(x-1)^2 but i keep getting (0)/(x-1)^2 please show me the steps i should be taking and if possible what i did wrong
Monday, January 20, 2014 at 10:57pm

Calculus
I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4)
Monday, January 20, 2014 at 10:50pm

calculus
Find the limit lim x→−∞ sqrt(4x^6 − x)/(x^3 + 6)
Monday, January 20, 2014 at 7:07pm

Calculus, Limits
Find the limit. lim t → ∞ (sqrt t + t^2)/(6t − t^2)
Monday, January 20, 2014 at 7:04pm

calculus
a rectangle is 10 inches by 6 inches whose sides are changing. write a formula for both the perimeter and how fast each is changing in terms of L and W how do i do this, an explanation instead of an answer would be most appreciated, thanks in advance.
Monday, January 20, 2014 at 12:26am

Calculus
What is the domain of f(x)= (x-3)/(x^2-9)? lim f(x) x->3
Saturday, January 18, 2014 at 10:18pm

calculus
i need to use implicit differentiation to find the derivative: yx+y = 8 i keep getting y'=-1-y. i already know the derivative of this, by using explicit by simplification: y(x+1)=8 y=(8)/(x+1) y'= -(8)/(x+1)^2 how do i go about doing this the right way?
Friday, January 17, 2014 at 5:49pm

calculus
at what point do the graph of the function f(x)=(x^2)+4x-1 have a horizontal tangent?
Tuesday, January 14, 2014 at 3:04pm

Calculus
lim x to 1 of (sin(1-cosx))/x
Tuesday, January 14, 2014 at 1:34pm

Calculus
For what value of a is f(x)=(x^2)-a x<3 f(x)=2ax x(> or =)3 continuous at every x?
Monday, January 13, 2014 at 10:23pm

calculus
a.Find the slope of the tangent line to the curve y=9-2x^2 at the point (2,1) b.Find an equation of this tangent line.
Monday, January 13, 2014 at 4:39pm

calculus
i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x^3)^2 i got the answer from a site but the problem is i cannot get my work to match up with the answer, i dont know what im doing wrong. answer: 10x^9 + 36x^8 − 64x^7 − 182x^6 + 168x^5 + 80x^4 + ...
Monday, January 13, 2014 at 3:00am

Integral Calculus
A jeepney's velocity over time in ft/sec as it moves along the x-axis is governed by the function v(t)=3t^2-10t+15. If the jeep's position at t= 1 second is 8ft, what is the total displacement made by the jeepney from t=0 to t=5sec? please I need help, i just need the ...
Sunday, January 12, 2014 at 7:01pm

pre-calculus
Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.
Sunday, January 12, 2014 at 6:21pm

Calculus
Find the position s as a function of time t from the given velocity v=ds/dv. Then evaluate the constant of integration so that s = s0 when, t = 0. 1. v = 3t2 , s0 = 4 I don't quite understand what the question is asking or what is s0 mean. Than
Sunday, January 12, 2014 at 11:24am

Pre-Calculus
Here is correct question: Solve sin (pi/4*(x-6))=0.5, 0<x<360
Saturday, January 11, 2014 at 8:10pm

Pre-Calculus
Solve sin (pi/4(x-6))=0.5, 0<x<360
Saturday, January 11, 2014 at 4:18pm

Calculus
The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 2343 2230 2113 2178 2495 2496 2538 2518 a) Using Curve Expert or another curve modelling program, determine an equation ...
Saturday, January 11, 2014 at 12:17am

calculus
i need to find the derivative using chain rule and show steps: y= (x) / ((x^2)-1)^(-1/2) and is it possible to have free tutoring online like through a chatroom? i am in need of help
Friday, January 10, 2014 at 5:44pm

4 CALCULUS study problem
1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we want to find is dr/...
Thursday, January 9, 2014 at 1:23pm

Pre calculus
A woman went for a 48km drive in her car, partly in town in the country. She drove at an average of 40km/hr in town and an average speed of 50km/hr in the country. If the drive took her one hour altogether then how long did she drive in the country?
Thursday, January 9, 2014 at 12:53pm

calculus
updating previous question so easier to understand im using chain rule to answer this question: f(x) = -5 sqrt(x^2 - 4x + 1) what is f'(x)? tried to use calculator to get the answer to base my answer off of but this is a nonreal number. does this mean i will have to use ...
Wednesday, January 8, 2014 at 9:57pm

calculus
im using chain rule to answer this question: -5 ((x^2) - 4x + 1)^(1)/(2) tried to use calc to get answer to base off of but this is a nonreal number. does this mean i will have to use imaginary numbers? please help
Wednesday, January 8, 2014 at 9:07pm

Pre Calculus
Find the exact value of sin(1/2arcsin(-7/25))
Wednesday, January 8, 2014 at 8:23pm

Calculus
Let f(x)=(x/x+3). Find Domain Find f^(-1) and its domain Verify f*f^(-1)=f^(-1)*f=x Find (f(x+h)-f(x))/h.
Wednesday, January 8, 2014 at 7:15pm

Pre-Calculus
Write an algebraic expression in x for sec(arcsin(x/sqrt(x^(2) +4)))
Wednesday, January 8, 2014 at 7:10pm

Pre-Calculus
Find a quadratic function f such that f(1)=3, f(2)=5/2, f(-1)=1 I came out with 3 a+b+c=3, 4a+2b+c=5/2, a-b+c=1. And I know that I should do synthetic division but I am stuck.
Wednesday, January 8, 2014 at 1:21pm

Calculus
Integrate x dx/(1-x). I have proceeded thus- Int xdx/(1-x)=int -(x-1+1)/(x-1) =-Int[1+ 1/(x-1)]dx =-Int dx-Int dx/(x-1) =-x-log(x-1). On differentiating, we get original expression- d/dx[-x-log(x-1)]=-1-1/(x-1)=-x/(x-1)=x/​(1-x). However, the answer in the book is -x-log...
Wednesday, January 8, 2014 at 4:04am

AP Calculus AB
Find the derivative of: y=(cosx)^3-(sinx)^3
Friday, January 3, 2014 at 12:23pm

Pre calculus
1. Reference angle for -280 degrees? I do not understand why you add 360???? 2. Theta=? If reference angle =60 and theta terminates in quadrant 3. What does terminate mean? Please show work and explain why. My priority is to understand the concept ... 3. Exact value for sec ...
Wednesday, December 25, 2013 at 10:30pm

calculus
Evaluate to four significant digits log x = 5.3027
Saturday, December 21, 2013 at 3:48pm

CALCULUS - Check my answers :)
I'd appreciate corrections for the ones I get wrong. :) Thanks! 1. Determine which of the following is true for the function f(x) = x^3 +5x^2 - 8x +3. I. f(x) has a relative minimum at x = 2/3. II. f(x) has a relative maximum at x = 2/3. III. f(x) has a zero at x = 2/3 I ...
Thursday, December 19, 2013 at 7:18pm

Calculus
what is the limit n to infinite of cos1*cos(1/2)*cos(1/4)*cos(1/8)*cos(1/16​)*...*cos(1/2^n)
Thursday, December 19, 2013 at 1:03pm

calculus
f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?
Wednesday, December 18, 2013 at 7:16pm

calculus
if f(x)= the integral of lntdt from sqrt(x) to 2, what is f'(x)? Do you solve the integral first then derive it? And if so, wouldn't that just give you the function? Please help
Wednesday, December 18, 2013 at 6:35pm

calculus
I got half of this problem wrong and I DO NOT know where and how to fix. I cannot use my calculator and have to show my work. Question: You have a 500 metre roll of fencing and a large field. You want to construct a rectangular playground area. a.) using optimization ...
Wednesday, December 18, 2013 at 6:27pm

calculus
In the process of electrolysis, electrical power is used to separate water into oxygen and hydrogen molecules via the reaction: H2O --> H2 + ½O2 This is very much like running a hydrogen fuel cell in reverse. We assume that only the activation potential for the ...
Wednesday, December 18, 2013 at 5:34pm

calculus
A competing technology uses a photovoltaic cell to charge a battery which can then be used to power a LED light. To compare these technologies, we make some reasonable assumptions. We assume the solar cell is 10 cm on a side, and that it has an efficiency of 15%. We assume the...
Wednesday, December 18, 2013 at 3:57pm

Pre-Calculus
y= ((2-3x^(1/x))/(2+3x^(1/x)) Is the horizontal asymptote y= 1 or y= -1?
Wednesday, December 18, 2013 at 10:45am

Calculus
The total stopping distance T of a vehicle is T=2.5x+0.5x^2 where T is in feet and x is the speed in miles per hour. Approximate the change and percent change in total stopping distance as sped changes from x=25 to x=26 miles per hour. I started taking the derivative, but that...
Tuesday, December 17, 2013 at 7:47pm

Calculus (check my work)
The measurement of the circumference of a circle is found to be 64 centimeters, with a possible error of 0.9 centimeter. Approximate the percent error in computing the area of the circle. MY ANSWER 8.83%
Tuesday, December 17, 2013 at 6:52pm

Calculus (check my answer)
The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. Use differentials to approximate the maximum possible propagated error in computing the surface area of the cube. I got 5.4 inches squared. Is this right?
Tuesday, December 17, 2013 at 6:39pm

Calculus (check my answers)
10) Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2 and delta x=dx=0.01 MY ANSWER: dy=-.32 and delta y=-.3224. Are they supposed to be negative, and how do I compare those in words? I don't even understand what I was supposed to do... 12) Find the ...
Tuesday, December 17, 2013 at 5:53pm

Calculus
Find the differential dy of the given function. y=sec^2x/(x^2+1) My answer was [tanx(x^2+1)-2sec^2x]dx/(x^2+1)^2 My friend (who's a lot smarter than me) got something wayyy different, so I'm not sure if I'm doing this wrong...?
Tuesday, December 17, 2013 at 5:35pm

Calculus
Consider the function x^2+x-4 Estimate the area between the graph and the x-axis between x=2 and x=4 using four rectangles and right end points.
Tuesday, December 17, 2013 at 12:27pm

calculus
two trains are on parallel tracks that are 2 miles apart. If both trains are traveling at 40 mph, how fast is the distance between the trains decreasing when they are 8 miles apart?
Monday, December 16, 2013 at 10:09pm

Calculus
The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle.
Monday, December 16, 2013 at 7:45pm

Calculus
Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest. The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2...
Monday, December 16, 2013 at 7:30pm

Calculus
Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest. The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2...
Monday, December 16, 2013 at 7:08pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3] Please don&#...
Monday, December 16, 2013 at 6:13pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x and y = x^4
Monday, December 16, 2013 at 6:11pm

Calculus
Use the information to evaluate and compare (triangle)x and dy. y=2-x^4, x=2, and (triangle)x=dx=0.01
Monday, December 16, 2013 at 6:03pm

Calculus
Evaluate the integral. HINT [Use a shortcut or see Example 4.] 4 to 3 x/(3x^2-6)dx
Monday, December 16, 2013 at 5:29pm

Calculus and vectors
Velocity represents the slope of a displacement function. Suppose an object was moving to the right, then stopped, then continued moving to the right. What would the displacement function look like?
Monday, December 16, 2013 at 8:54am

Calculus and vectors
it would appear that for any thrown object has a height that can be expressed using a quadratic expression. The maximum height occurred in the middle of the two zero values. Will this always be the case? What if the ball were thrown from a platform of height 1 m?
Monday, December 16, 2013 at 8:53am

Pre-Calculus
Is it possible to factor x^3 - 9x^2 + 24x - 20 and solve for x by hand? I tried using the grouping method and got x^2(x-9) + 4(6x-5) but how can I continue solving for x? If I use a calculator I get x= 2 and 5 but is it possible to find this by hand? thanks
Monday, December 16, 2013 at 1:11am

calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x2 − 4x + 1 and y = −x2 + 4x − 5 for x in [0, 3]
Sunday, December 15, 2013 at 9:45pm

calculus hw
What is the area bounded by y=x^2 and y=x^3-2x?
Sunday, December 15, 2013 at 2:08pm

Physics/Calculus
A spherical oil tank with a radius of 10 feet is half full of oil that weighs 60 pounds per cubic foot. Its top is 6 feet underground. How much work is needed to pump the oil out of the tank through a hole in its top? How do I solve this? Does the fact that it its top is 6 ...
Sunday, December 15, 2013 at 12:24pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. HINT [See Example 3.] Enclosed by y = x and y = x^4
Sunday, December 15, 2013 at 2:14am

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.
Saturday, December 14, 2013 at 9:12pm

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.
Saturday, December 14, 2013 at 8:53pm

Calculus
A spherical oil tank with a radius of 10 feet is half full of oil that weighs 60 pounds per cubic foot. Its top is 6 feet underground. How much work is needed to pump the oil out of the tank through a hole in its top? How do I solve this? Does the fact that it its top is 6 ...
Saturday, December 14, 2013 at 8:13pm

Calculus (Please check my work.)
This is my last chance to make at least a C in my AP Calculus course, so please tell me if I got these right or wrong so that I can fix them before it's due. Also, there was one I wasn't sure how to do, so if you can help me with that, it would be much appreciated! 1)...
Saturday, December 14, 2013 at 9:25am

Calculus
How do you show that the minimum average cost occurs when the average cost equals the marginal cost?
Saturday, December 14, 2013 at 8:40am

Math (pre calculus)
Solve 2^3-x = 5^2x+1 Give an exact solution.
Thursday, December 12, 2013 at 6:48pm

Math (pre calculus)
The population of a certain town grows from 10,000 in 1982 to 35,000 in 1995. At this rate, in what year will the population reach 300,000? Tip* Population growth formula: P = P(subzero)multiplied by e^(k)(t)
Thursday, December 12, 2013 at 6:37pm

Calculus
Lim x to 3 (-x^2)/((x^2)- 6x + 9) substitution i get -9/0 factoring i get same answer would that mean the answer is infinity? if not how could i prove that it isn't infinity
Thursday, December 12, 2013 at 5:32pm

calculus
use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x
Thursday, December 12, 2013 at 4:46pm

Calculus PLEASE HELP
Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
Thursday, December 12, 2013 at 5:29am

Calculus
Assume that the rate of population growth of ants is given by the equation: dP/dt=.1P(1 - P/730)-(129000/7300) a. If P(0)=150, what happens to P as t gets very large? b. If P(0)=800, what happens to P as t gets very large? c. If P(0)=800, what happens to dP/dt as t gets very ...
Wednesday, December 11, 2013 at 10:35pm

Calculus
Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
Wednesday, December 11, 2013 at 8:21pm

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